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<div class="title">DisjointSets.cs</div>  </div>
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<a href="_disjoint_sets_8cs.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* This code was taken from:</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * http://www.emilstefanov.net/Projects/Files/DisjointSets/DisjointSets.cs</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * It is subject to the MIT license:</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * </span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">    Permission is hereby granted, free of charge, to any person obtaining a copy</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">    of this software and associated documentation files (the &quot;Software&quot;), to deal</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">    in the Software without restriction, including without limitation the rights</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">    to use, copy, modify, merge, publish, distribute, sublicense, and/or sell</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">    copies of the Software, and to permit persons to whom the Software is</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">    furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">    The above copyright notice and this permission notice shall be included in</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">    all copies or substantial portions of the Software.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">    THE SOFTWARE IS PROVIDED &quot;AS IS&quot;, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">    IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">    FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">    AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">    LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">    OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">    THE SOFTWARE.</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> * */</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">using</span> System;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">using</span> System.Collections.Generic;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">using</span> System.Diagnostics.Contracts;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespace_system_sharp_1_1_collections_1_1_emil_stefanov.html">   29</a></span>&#160;<span class="keyword">namespace </span>SystemSharp.Collections.EmilStefanov</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;{</div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html">   31</a></span>&#160;    <span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html">DisjointSets</a></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    {</div>
<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#a374cc23e549766f1c76e9aebbf881101">   36</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#a374cc23e549766f1c76e9aebbf881101">DisjointSets</a>()</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;            : this(0)</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        {</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        }</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#ab8e7658d103bbd8b3628ed0468a9a517">   45</a></span>&#160;        <span class="keyword">public</span> <a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#ab8e7658d103bbd8b3628ed0468a9a517">DisjointSets</a>(<span class="keywordtype">int</span> count)</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        {</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            m_elementCount = 0;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            m_setCount = 0;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            m_nodes = <span class="keyword">new</span> List&lt;Node&gt;();</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            AddElements(count);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#acf6b862c1a7c11978b06c26af594d8bd">   59</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">int</span> <a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#acf6b862c1a7c11978b06c26af594d8bd">FindSet</a>(<span class="keywordtype">int</span> elementId)</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            Contract.Requires(elementId &lt; ElementCount);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            Contract.Requires(elementId &gt;= 0);</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            Node curNode;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            <span class="comment">// Find the root element that represents the set which `elementId` belongs to</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            curNode = m_nodes[elementId];</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            <span class="keywordflow">while</span> (curNode.Parent != null)</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                curNode = curNode.Parent;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            Node root = curNode;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            <span class="comment">// Walk to the root, updating the parents of `elementId`. Make those elements the direct</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            <span class="comment">// children of `root`. This optimizes the tree for future FindSet invokations.</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            curNode = m_nodes[elementId];</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            <span class="keywordflow">while</span> (curNode != root)</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            {</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                Node next = curNode.Parent;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                curNode.Parent = root;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                curNode = next;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="keywordflow">return</span> root.Index;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#af482a90dc494efd8738cefe80f24bef3">   90</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">void</span> <a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#af482a90dc494efd8738cefe80f24bef3">Union</a>(<span class="keywordtype">int</span> setId1, <span class="keywordtype">int</span> setId2)</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            <span class="keywordflow">if</span> (setId1 &gt;= m_elementCount)</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArgumentOutOfRangeException(<span class="stringliteral">&quot;setId1&quot;</span>);</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            <span class="keywordflow">if</span> (setId2 &gt;= m_elementCount)</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArgumentOutOfRangeException(<span class="stringliteral">&quot;setId2&quot;</span>);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            <span class="keywordflow">if</span> (setId1 == setId2)</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                <span class="keywordflow">return</span>; <span class="comment">// already unioned</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            Node set1 = m_nodes[setId1];</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            Node set2 = m_nodes[setId2];</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            <span class="comment">// Determine which node representing a set has a higher rank. The node with the higher rank is</span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            <span class="comment">// likely to have a bigger subtree so in order to better balance the tree representing the</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            <span class="comment">// union, the node with the higher rank is made the parent of the one with the lower rank and</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <span class="comment">// not the other way around.</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            <span class="keywordflow">if</span> (set1.Rank &gt; set2.Rank)</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                set2.Parent = set1;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="keywordflow">else</span> <span class="keywordflow">if</span> (set1.Rank &lt; set2.Rank)</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                set1.Parent = set2;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            <span class="keywordflow">else</span> <span class="comment">// set1.Rank == set2.Rank</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                set2.Parent = set1;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                ++set1.Rank; <span class="comment">// update rank</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            }</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            <span class="comment">// Since two sets have fused into one, there is now one less set so update the set count.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            --m_setCount;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#a12fabb3ec9cf9aedf0d9f4226d6093fc">  126</a></span>&#160;        <span class="keyword">public</span> <span class="keywordtype">void</span> <a class="code" href="class_system_sharp_1_1_collections_1_1_emil_stefanov_1_1_disjoint_sets.html#a12fabb3ec9cf9aedf0d9f4226d6093fc">AddElements</a>(<span class="keywordtype">int</span> addCount)</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            <span class="keywordflow">if</span> (addCount &lt; 0)</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                <span class="keywordflow">throw</span> <span class="keyword">new</span> ArgumentOutOfRangeException(<span class="stringliteral">&quot;addCount&quot;</span>);</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            <span class="comment">// insert and initialize the specified number of element nodes to the end of the `m_nodes` array</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = m_elementCount; i &lt; m_elementCount + addCount; ++i)</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            {</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                Node newNode = <span class="keyword">new</span> Node();</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                newNode.Parent = null;</div>
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